Optimal harvesting policy for the Beverton-Holt quantum difference model
Mathematica Moravica, Tome 20 (2016) no. 2.

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In this paper, we introduce exploitation to the Beverton-Holt equation in the quantum calculus time setting. We first give a brief introduction to quantum calculus and to the Beverton-Holt q-difference equation before formulating the harvested Beverton-Holt q-difference equation. Under the assumption of a periodic carrying capacity and periodic inherent growth rate, we derive its unique periodic solution, which globally attracts all solutions. We further derive the optimal harvest effort for the Beverton-Holt q-difference equation under the catch-per-effort hypothesis. Examples are provided and discussed in the last section.
Mots-clés : Beverton-Holt, quantum calculus, periodic solution, stability, optimal harvest yield 
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Martin Bohner; Sabrina Streipert. Optimal harvesting policy for the Beverton-Holt quantum difference model. Mathematica Moravica, Tome 20 (2016) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2016_20_2_a3/